Ch. 1
Solve:
3x^2+11x-4=0
x=1/3,-4
How many solutions does the following equation have?
4x^5-3x^3+2x^2+8x-9=0
5
Simplify:
(x^-2y^3)^2/(xy^4)
y^2/x^5
Evaluate:
log_3(1/9)=?
-2
What is Mr. K's wife's name?
Ashley
What is the vertex of the following quadratic?
f(x)=3(x-2)^2+4
(2,4)
Solve:
x^3-2x^2-3x+6=0
x=2,+-sqrt3
Given the two functions, find
f(g(x))
f(x)=sqrt(4x^2-3) ; g(x)=x+3
f(g(x))=sqrt(4x^2+24x+33
Condense:
ln4+3lnx-2lny
ln((4x^3)/y^2)
How old is Mr. K?
25
Does the following quadratic have a minimum or maximum? Why?
f(x)=3(x-5)(8-x)
Maximum, the leading coefficient would be negative.
Solve:
x^4-7x^2-8=0
x=+-i,+-2sqrt2
Find the inverse function for:
y=root(3)(3x-7)
y=(x^3+7)/3
Solve:
4^(3x+1)=16^(x-1)
x=-3
What city did Mr. K grow up in?
Grand Rapids
Solve:
x^2-8x=-3
x=4+-sqrt13
Providing justification, draw the appropriate "arrows" for the following function:
f(x)=-5x^3+2x^2-3x+4
Odd degree, negative leading coefficient.
Solve:
(x+10)^(3/2)=64
x=6
Solve:
7*3^(-2x)=70
-log_3(10)/2
What restaurant did Mr. K previously work at in college?
Chipotle
A rocket is launched from a platform 5 feet high with an initial velocity of 72 ft/sec. Write an equation that models its height over time.
h(t)=?
h(t)=-16t^2+72t+5
Solve:
x^4-9x^2-4x+12=0
x=1,3,-2 (twice)
Solve:
sqrt(6-x)=x-4
x=5
Solve:
log_8(x)+log_8(x+14)=log_8(15)
x=1
Mr. K split his chin open playing a sport. Which one?
Kickball